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Finding the Fourth Proportional to 302,005.53, 452,022.57 and 222,022.32

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Solution

The fourth proportional to 302,005.53, 452,022.57 and 222,022.32 is: 332,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,005.53 : 452,022.57 = 222,022.32 : x
  2. Step 2: Convert to fraction form
    302,005.53/452,022.57 = 222,022.32/x
  3. Step 3: Cross multiply
    302,005.53x = 452,022.57 × 222,022.32
  4. Step 4: Simplify right side
    302,005.53x = 100,359,099,683.76
  5. Step 5: Solve for x
    x = 100,359,099,683.76/302,005.53
  6. Step 6: Final answer
    x = 332,308.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.